In this paper we classify infinite soluble minimal non-nilpotent-groups, detemine the basic structure of infinite soluble minimal non-Baer-groups, and using famed Heineken-Mohamed- groups we construct an example of mi...In this paper we classify infinite soluble minimal non-nilpotent-groups, detemine the basic structure of infinite soluble minimal non-Baer-groups, and using famed Heineken-Mohamed- groups we construct an example of minimal non-Baer-group which is not minimal non-nilpotent- group.展开更多
We characterize non-finitely generated soluble groups with the maximalcondition on non-Baer subgroups and prove that a non-Baer soluble group is a Cernikov group or ithas an infinite properly descending series of non-...We characterize non-finitely generated soluble groups with the maximalcondition on non-Baer subgroups and prove that a non-Baer soluble group is a Cernikov group or ithas an infinite properly descending series of non-Baer subgroups.展开更多
文摘In this paper we classify infinite soluble minimal non-nilpotent-groups, detemine the basic structure of infinite soluble minimal non-Baer-groups, and using famed Heineken-Mohamed- groups we construct an example of minimal non-Baer-group which is not minimal non-nilpotent- group.
文摘We characterize non-finitely generated soluble groups with the maximalcondition on non-Baer subgroups and prove that a non-Baer soluble group is a Cernikov group or ithas an infinite properly descending series of non-Baer subgroups.
